Find the LCM of 276, 927, 253, 963, 364 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 276, 927, 253, 963, 364. So, keep reading to learn more.
Given numbers are 276,927,253,963,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,927,253,963,364 is 9134513388.
Find LCM of 276,927,253,963,364 with Prime Factorization
2 | 276, 927, 253, 963, 364 |
2 | 138, 927, 253, 963, 182 |
3 | 69, 927, 253, 963, 91 |
3 | 23, 309, 253, 321, 91 |
23 | 23, 103, 253, 107, 91 |
1, 103, 11, 107, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 1 x 103 x 11 x 107 x 91 = 9134513388
Therefore, the lowest common multiple of 276,927,253,963,364 is 9134513388.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
276 x 927 x 253 x 963 x 364 = 22690131255792
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
927 : 1, 3, 9, 103, 309, 927
253 : 1, 11, 23, 253
963 : 1, 3, 9, 107, 321, 963
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,927,253,963,364, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
927:3x 3x 103
253:11x 23
963:3x 3x 107
364:2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 23 = 2484
Therefore, the value for common factors is 2484.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 22690131255792/(1x2484)
LCM = 22690131255792/2484
LCM = 9134513388
Thus, we can understand that the LCM of 276,927,253,963,364 is 9134513388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 276, 927, 253, 963, 364?
Answer: LCM of 276, 927, 253, 963, 364 is 9134513388.
2. How to calculate the LCM of 276, 927, 253, 963, 364?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 276, 927, 253, 963, 364.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.